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Finding the Fourth Proportional to 519,806.91, 717,257.19 and 290,335.92

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Solution

The fourth proportional to 519,806.91, 717,257.19 and 290,335.92 is: 400,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,806.91 : 717,257.19 = 290,335.92 : x
  2. Step 2: Convert to fraction form
    519,806.91/717,257.19 = 290,335.92/x
  3. Step 3: Cross multiply
    519,806.91x = 717,257.19 × 290,335.92
  4. Step 4: Simplify right side
    519,806.91x = 208,245,526,135.27
  5. Step 5: Solve for x
    x = 208,245,526,135.27/519,806.91
  6. Step 6: Final answer
    x = 400,620.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.